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Modelling the relaxation modulus of linear viscoelasticity using Kohlrausch functions

Date

Authors

Husain, Saiful

Anderssen, Robert S

Publisher

Elsevier

Abstract

In linear viscoelasticity, an important consideration is the Boltzmann causal integral equation σ(t) = ∫-∞t G(t - τ) γ(τ)dτ, which defines how the stress σ(t) at time t depends on the earlier history of the strain rate γ(t) via the relaxation m

Keywords

Keywords: Computer simulation; Elasticity; Functions; Integral equations; Mathematical models; Muscle; Polymers; Relaxation processes; Rheology; Strain rate; Stress analysis; Boltzmann models; Kohlrausch functions; Linear viscoelasticity; Relaxation modulus; Viscoe Boltzmann; Gamma function; Kohlrausch; Moments; Relaxation modulus; Stretched exponential; Viscoelasticity

URI

http://hdl.handle.net/1885/85204

Collections

ANU Research Publications

Source

Journal of Non-Newtonian Fluid Mechanics

Type

Journal article

DOI

10.1016/j.jnnfm.2004.11.002

Restricted until

2037-12-31

Downloads

File

Description

01_Husain_Modelling_the_relaxation_2005.pdf (208.69 KB)